Six loop analytical calculation of the field anomalous dimension and the critical exponent η in O(n)-symmetric φ4 model
We report on a completely analytical calculation of the field anomalous dimension γφ and the critical exponent η for the O(n)-symmetric φ4 model at the record six loop level. We successfully compare our result for γφ with n=1 with the predictions based on the method of the Borel resummation combined...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Elsevier
2016-05-01
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| Series: | Nuclear Physics B |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S0550321316000912 |
| Summary: | We report on a completely analytical calculation of the field anomalous dimension γφ and the critical exponent η for the O(n)-symmetric φ4 model at the record six loop level. We successfully compare our result for γφ with n=1 with the predictions based on the method of the Borel resummation combined with a conformal mapping (Kazakov et al., 1979 [40]). Predictions for seven loop contribution to the field anomalous dimensions are given. |
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| ISSN: | 0550-3213 1873-1562 |